14 citations to 10.3934/dcds.2004.11.867 (Crossref Cited-By Service)
  1. Глызин, Glyzin, Колесов, Kolesov, Розов, Rozov, “Периодические решения типа бегущих волн в кольцевых цепочках однонаправленно связанных уравнений”, Теоретическая и математическая физика, 175, № 1, 2013, 62  crossref
  2. Michael Herrmann, Karsten Matthies, “Solitary waves in atomic chains and peridynamical media$^\dagger$”, Mathematics in Engineering, 1, № 2, 2019, 281  crossref
  3. Anna Vainchtein, “Solitary waves in FPU-type lattices”, Physica D: Nonlinear Phenomena, 434, 2022, 133252  crossref
  4. Michael Herrmann, Karsten Matthies, “Asymptotic formulas for solitary waves in the high-energy limit of FPU-type chains”, Nonlinearity, 28, № 8, 2015, 2767  crossref
  5. Michael Herrmann, “High-Energy Waves in Superpolynomial FPU-Type Chains”, J Nonlinear Sci, 27, № 1, 2017, 213  crossref
  6. Michael Herrmann, Karsten Matthies, “Stability of high-energy solitary waves in Fermi-Pasta-Ulam-Tsingou chains”, Trans. Amer. Math. Soc., 372, № 5, 2019, 3425  crossref
  7. Denis Blackmore, Anthony Rosato, Xavier Tricoche, Kevin Urban, Vishagan Ratnaswamy, “Tapping dynamics for a column of particles and beyond”, J. Mech. Mater. Struct., 6, № 1-4, 2011, 71  crossref
  8. Guillaume James, Yannick Sire, 728, The Fermi-Pasta-Ulam Problem, 2008, 207  crossref
  9. Michael Herrmann, Karsten Matthies, 205, Patterns of Dynamics, 2017, 3  crossref
  10. G. M. Zaslavsky, M. Edelman, V. E. Tarasov, “Dynamics of the chain of forced oscillators with long-range interaction: From synchronization to chaos”, Chaos: An Interdisciplinary Journal of Nonlinear Science, 17, № 4, 2007, 043124  crossref
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